Finding the Fourth Proportional to 10,185.12, 14,051.52 and 7,538.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185.12 : 14,051.52 = 7,538.88 : x
2. Step 2: Convert to fraction form
   10,185.12/14,051.52 = 7,538.88/x
3. Step 3: Cross multiply
   10,185.12x = 14,051.52 × 7,538.88
4. Step 4: Simplify right side
   10,185.12x = 105,932,723.10
5. Step 5: Solve for x
   x = 105,932,723.10/10,185.12
6. Step 6: Final answer
   x = 10,400.73